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Teaching duties

Semester 2, 2018:
Engineering Mathematics IIB

Academic duties

Postgraduate Coordinator

Research images

Hydraulic fall over a bump

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Comparison of nonlinear potential flow model with an experiment

Quantifying filamentous growth

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Dimorphic transition in yeast growth: uniform to filamentous.

Proliferative tissue growth

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(a) Images of quail guts from embryonic age 4 days to 6 days. (b) CA tissue growth proliferation rule. (c) Initial condition. (d) Typical simulation. (e) Averaged CA data (dots) compared with continuum results (curves).

Fluid mixing

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Iterated mapping plot with two visible ghost rods for a figure-of-eight stirring protocol.

Phase plane analysis of free-surface flow

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Free-surface flow profile with corresponding phase plane analysis.

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ARC

Associate Prof Ben Binder--University of Adelaide

Research interests

Fluid mechanics, mathematical biology and spatial statistics.

Biographical sketch

I was awarded my PhD in Applied Mathematics from the University of East Anglia, UK, 2005. The research involved numerical and analytical studies on non-linear free-surface flows. Shortly after completing my PhD I accepted a Research Associate position at the University of Adelaide, researching the chaotic dynamical systems approach to fluid mixing and its application to designing mixing devices. I briefly left Adelaide in 2007, joining the University of Melbourne as a Research Fellow. There I developed both discrete and continuous mathematical models for the neural crest cell invasion in the embryonic gut. I returned to the University of Adelaide in 2009, having been appointed a continuing position as a Lecturer in Applied Mathematics. My current research includes (i) quantifying and modelling biological spatial patterns and (ii) predicting channel bed topography in free-surface flows.

Publication list

I have published 54 journal articles and 5 conference papers. Other scholarly achievements can be found in my CV.

Journal articles

54. Characterising shape patterns using features derived from best-fitting ellipsoids.
A. Gontar, H. Tronnolone, B. J. Binder and M. J. Bottema. Pattern Recogn. 83, 365-374, 2018.

53. Diffusion-limited growth of microbial colonies.
H. Tronnolone, A. Tam, Z. Szenczi, J. E. F. Green, S. Balasuriya, E. L. Tek, J. M. Gardner, J. F. Sundstrom, V. Jiranek, S. G. Oliver and B. J. Binder. Sci. Rep. 8, 5992, 2018.

52. Nutrient-limited growth with non-linear cell diffusion as a mechanism for floral pattern formation in yeast biofilms.
A. Tam, J. E. F. Green, S. Balasuriya, E. L. Tek, J. M. Gardner, J. F. Sundstrom, V. Jiranek and B. J. Binder. J. Theor. Bio. 448, 122-141, 2018.

51. Understanding interactions between populations: individual based modelling and quantification using pair correlation functions.
S. Dini, B. J. Binder and J. E. F. Green. J. Theor. Bio. 439, 50-64, 2018.

50. On the critical free-surface flow over localised topography.
J. S. Keeler, B. J. Binder and M. G. Blyth. J. Fluid Mech. 832, 73-96, 2017.

49. Quantifying the dominant growth mechanisms of dimorphic yeast using a lattice-based model.
H. Tronnolone, J. M. Gardner, J. F. Sundstrom, V. Jiranek, S. G. Oliver and B. J. Binder. J. R. Soc. Interface. 14, 20170314, 2017.

48. Steep waves in free-surface flow past narrow topography.
S. L. Wade, B. J. Binder, T. W. Mattner and J. P. Denier. Phys. Fluids. 29, 062107, 2017.

47. Differential clonal expansion in an invading cell population: Clonal advantage or dumb luck?
D. F. Newgreen, D. Zhang, B. L. Cheeseman, B. J. Binder and K. A. Landman. Cells, Tissues, Organs. 203, 105-113, 2017.

46. Identifying the necrotic zone boundary in tumour spheroids with pair-correlation functions.
S. Dini, B. J. Binder, S. C. Fischer, C. Mattheyer, A. Schmitz, E. H. K. Stelzer, N. G. Bean and J. E. F. Green J. R. Soc. Interface. 13, 20160649, 2016.

45. A mechanistic study on tumour spheroids formation in thermosensitive hydrogels: Experiments and mathematical modelling.
X. Cui, S. Dini, S. Dai, J. Bi, B. J. Binder, J. E. F. Green and H. Zhang. RSC Adv. 6, 73282-73291, 2016.

44. Quantifying the effects of experimental design choices for in vitro scratch assays.
S. T. Johnston, J. V. Ross, B. J. Binder, D. L. S. McElwain, P. Haridas and M. J. Simpson. J. Theor. Bio. 400, 19-31, 2016.

43. Cell density and cell size dynamics during in vitro tissue growth experiments: Implications for mathematical models of collective cell behaviour.
B. J. Binder and M. J. Simpson. Appl. Math. Model. 40, 3438-3446, 2016.

42. Predicting channel bed topography in hydraulic falls.
A. Tam, Z. Yu, R. M. Kelso and B. J. Binder. Phys. Fluids 27, 112106, 2015.

41. Steady free-surface flow over spatially periodic topography.
B. J. Binder, M. G. Blyth and S. Balasuriya. J. Fluid Mech. 781, R3, 2015.

40. Incomplete penetrance: The role of stochasticity in developmental cell colonization.
B. J. Binder, K. A. Landman, D. F. Newgreen and J. V. Ross. J. Theor. Bio. 380, 309-314, 2015.

39. Quantifying two-dimensional filamentous and invasive growth spatial patterns in yeast colonies.
B. J. Binder, J. F. Sundstrom, J. M. Gardner, V. Jiranek and S. G. Oliver. PLoS Comput. Biol. 11, e1004070, 2015.

38. Spectral analysis of pair-correlation bandwidth: application to cell biology images.
B. J. Binder and M. J. Simpson. R. Soc. open sci. 2, 140494, 2015.

37. Modeling development and disease in the enteric nervous system.
K. A. Landman, B. J. Binder and D. F. Newgreen. J. Cell. Autom. 9, 95-109, 2014.
This paper was selected by the Editor for a special issue on Cellular Automata Applications in Research and Industry.

36. Interpreting scratch assays using pair density dynamics and approximate Bayesian computation.
S. T. Johnston, M. J. Simpson, D. L. S. McElwain, B. J. Binder and J. V. Ross. Open Biol. 4, 140097, 2014.

35. Nonautonomous analysis of steady Korteweg-de Vries waves under nonlocalised forcing.
S. Balasuriya and B. J. Binder. Physica D 285, 28-41, 2014.

34. Assessing the role of spatial correlations during collective cell spreading.
K. K. Treloar, M. J. Simpson, B. J. Binder, D. L. S. McElwain and R. E. Baker. Sci. Rep. 4, 5713, 2014.

33. On the derivation of approximations to cellular automata models and the assumption of independence.
K. J. Davies, J. E. F. Green, N. G. Bean, B. J. Binder and J. V. Ross. Math. Biosci. 253, 63-71, 2014.

32. Approximating spatially-exclusive invasion processess.
J. V. Ross and B. J. Binder. Phys. Rev. E. 89, 052709, 2014.

31. Distinguishing between mechanisms of cell aggregation using pair-correlation functions.
D. J. G. Agnew, J. E. F. Green, T. M. Brown, M. J. Simpson and B. J. Binder. J. Theor. Bio. 352, 16-23, 2014.

30. Non-uniqueness of steady free-surface flow at critical Froude number.
B. J. Binder, M. G. Blyth and S. Balasuriya. EPL (Europhysics Letters). 105, 44003, 2014.

29. Cell lineage tracing in the developing enteric nervous system: superstars revealed by experiment and simulation.
B. L. Cheeseman, D. Zhang, B. J. Binder, D. F. Newgreen and K. A. Landman. J. R. Soc. Interface. 11, 20130815, 2014.

28. On the free-surface flow of very steep forced solitary waves.
S. L. Wade, B. J. Binder, T. W. Mattner and J. P. Denier, J. Fluid Mech. 739, 1-21, 2014.
This paper was selected by the Editor to be the lead article in the journal.

27. Quantifying spatial structure in experimental and simulation images using pair-correlation functions.
B. J. Binder and M. J. Simpson, Phys. Rev. E. 88, 022705, 2013.

26. Free-surface flow past arbitrary topography and an inverse approach for wave-free solutions.
B. J. Binder, M. G. Blyth and S. W. McCue, IMA J. Appl. Math. 78, 685-696, 2013.
This paper was selected by the Editor for a special issue on the Analysis and Computation of Complex Wave and Free Boundary Problems. It was also the journal's most downloaded paper in 2015.

25. Experimental and modelling investigation of monolayer development with clustering.
M. J. Simpson, B. J. Binder, P. Haridas, B. K. Wood, K. K. Treloar, D. L. S. McElwain and R. E. Baker, Bull. Math. Biol. 75, 871-889, 2013.

24. Quantifying the roles of cell motility and cell proliferation in a circular barrier assay.
M. J. Simpson, K. K. Treloar, B. J. Binder, P. Haridas, K. J. Manton, D. I. Leavesley, D. L. S. McElwain and R. E. Baker J. R. Soc. Interface 10, 20130007, 2013.

23. A hybrid model for studying spatial aspects of infectious diseases.
B. J. Binder, J. V. Ross and M. J. Simpson, ANZIAM J. 54, 37-49, 2012.
This paper was selected by the Editor for a special issue on Mathematical Biology.

22. Electrified free-surface flow of an inviscid liquid past topography.
B. J. Binder and M. G. Blyth, Phys. Fluids 24, 102112, 2012.

21. Generalized index for spatial data sets as a measure of complete spatial randomness.
E. J. Hackett-Jones, K. J. Davies, B. J. Binder and K. A. Landman, Phys. Rev. E. 85, 061908, 2012.
This paper was selected to appear in the Vir. J. Bio. Phys. Res. 23, (12), 2012.

20. Free surface flow past topography: a beyond-all-orders approach.
C. J. Lustri, S. W. McCue and B. J. Binder, Eur. J. App. Math. 23, 441-467, 2012.

19. Spatial analysis of multi-species exclusion processes: application to neural crest cell migration in the embryonic gut.
B. J. Binder, K. A. Landman, D. F. Newgreen, J. E. Simkin, Y. Takahashi and D. Zhang, Bull. Math. Biol. 74, 474-490, 2012.

18. A modified Polya urn process and an index for spatial distributions with volume exclusion.
B. J. Binder, E. J. Hackett-Jones, J. Tuke and K. A. Landman, ANZIAM J. 53, 122-133, 2011.

17. Minimising wave drag for free surface flow past a two-dimensional stern.
O. Ogilat, S. W. McCue, I. W. Turner, J. A. Belward and B. J. Binder, Phys. Fluids 23, 072101, 2011.

16. Hybrid free-surface flows in a two-dimensional channel.
B. J. Binder and J.-M. Vanden-Broeck, Phys. Rev. E. 84, 016302, 2011.

15. Quantifying evenly distributed states in exclusion and non-exclusion processes.
B. J. Binder and K. A. Landman. Phys. Rev. E. 83, 041914, 2011.
This paper was selected to appear in the Vir. J. Bio. Phys. Res. 21, (9), 2011.

14. Ghost rods adopting the role of removed baffles in batch mixer designs.
B. J. Binder, Physics Letters A 374, 3483-3486, 2010.

13. Neural crest regionalisation for enteric nervous system formation: Implications for Hirschsprung's disease and stem cell therapy.
D. Zhang, I. M. Brinas, B. J. Binder, K. A. Landman and D. F. Newgreen, Dev. Biol. 339, 280-294, 2010.
This paper was selected for evaluation by Faculty of 1000 Biology (pdf version).

12. Steady free-surface flow at the stern of a ship.
B. J. Binder, Phys. Fluids 22, 012104, 2010.

11. Exclusion processes on a growing domain.
B. J. Binder and K. A. Landman, J. Theor. Bio. 259, 541-551, 2009.

10. A nonlinear dynamical system: flow past a sluice gate.
B. J. Binder, Australasian J. of Engng. Educ. 15 (2), 27-34, 2009.
This paper was selected by the Editor for a special issue on Engineering Mathematics Education.

9. Tissue growth and the Polya distribution.
B. J. Binder and K. A. Landman, Australasian J. of Engng. Educ. 15 (2), 35-41, 2009.
This paper was selected by the Editor for a special issue on Engineering Mathematics Education.

8. On satisfying the radiation condition in free-surface flows.
B. J. Binder, J.-M. Vanden-Broeck and F. Dias, J. Fluid Mech. 624, 179-189, 2009.

7. Modeling proliferative tissue growth: a general approach and an avian case study.
B. J. Binder, M. J. Simpson, K. A. Landman, M. Mariani and D. F. Newgreen. Phys. Rev. E. 78, 031912, 2008.
This paper was selected to appear in the Vir. J. Bio. Phys. Res. 16, (7), 2008.

6. Influence of rapid changes in a channel bottom on free-surface flows.
B. J. Binder, F. Dias and J. -M. Vanden-Broeck, IMA J. Appl. Math. 73, 254-273, 2008.
This paper was selected by the Editor to commemorate the late Prof. A. C. King.

5. A batch mixer design for the pigtail braid.
B. J. Binder and S. M. Cox, Fluid Dyn. Res. 40, 34-44, 2008.
This paper was selected by the Editor for a special issue on Fluid Mixing.

4. The effect of disturbances on the free surface flow under a sluice gate.
B. J. Binder and J. -M. Vanden-Broeck, J. Fluid Mech. 573, 475-490, 2007.

3. Steady free-surface flow past an uneven channel bottom.
B. J. Binder, F. Dias & J. -M. Vanden-Broeck, Theor. Comp. Fluid Dyn., 20, 125-144, 2006.

2. Free surface flows past surfboards and sluice gates.
B. J. Binder and J. -M. Vanden-Broeck, Eur. J. App. Math. 16, 601-619, 2005.

1. Forced solitary waves and fronts past submerged obstacles.
B. J. Binder, F. Dias and J. -M. Vanden-Broeck, Chaos 15, 037106, 2005.
This paper was selected by the Editor for a focus issue on Solitons in Nonintegrable Systems.

Conference papers

5. Enteric nervous system formation: disproportionate stochastic clonal expansion of a few initiating vagal neural crest cells.
D. F. Newgreen, D. C. Zhang, J. Osbourne, B. Cheeseman, B. J. Binder and K. A. Landman. Mechanisms of Development. 145, S40-S41, 2017.

4. Modeling development and disease in our "second" brain.
K. A. Landman, B. J. Binder and D. F. Newgreen. 10th Edition ACRI 2012 Conference (Cellular Automata for Research and Industry), Lect. Notes Comput. Sc. 7495, 405-412, 2012.

3. Social controls of migration and proliferation of neural crest-derived cells in the gut.
D. F. Newgreen, D. C. Zhang, B. J. Binder, M. J. Simpson, K. A. Landman, H. Enomoto and H. M. Young. Second International Symposium on Development of the Enteric Nervous Systems: Cells, Signals and Genes. Neurogastroenterol. Motil. 21, (2), 223(XI), 2009.

2. The prevalence of ghost rods in batch mixer designs.
S. M. Cox and B. J. Binder. XXII International Congress of Theoretical and Applied Mechanics ISBN 978-0-9805142-0-9, 2008.

1. Open channel flow past a curved sluice gate.
B. J. Binder, J.-M. Vanden-Broeck and F. Dias. XXII International Congress of Theoretical and Applied Mechanics ISBN 978-0-9805142-0-9, 2008.